Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725a |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4626722683171875 = -1 · 3 · 56 · 112 · 138 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,33525,2278500] |
[a1,a2,a3,a4,a6] |
Generators |
[2398:48999:8] |
Generators of the group modulo torsion |
j |
266679605718863/296110251723 |
j-invariant |
L |
4.3080930320929 |
L(r)(E,1)/r! |
Ω |
0.28891520009772 |
Real period |
R |
7.4556358243453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32175p5 429b6 117975q5 |
Quadratic twists by: -3 5 -11 |